Search found 2155 matches


If the line segment \(AB\) is one of the sides of a regular polygon inscribed in the given circle with center \(O,\) how

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If the line segment \(AB\) is one of the sides of a regular polygon inscribed in the given circle with center \(O,\) how many sides does this polygon have?

1. \(\alpha = 30^{\circ}\)
2. The circumference of the circle is \(4\pi\)

OA A


In the rectangular solid above, if \(AB=5,\) what is the surface area of the solid?

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In the rectangular solid above, if \(AB=5,\) what is the surface area of the solid?

1. \(BC=8\)
2. The volume of the solid is \(80\)

OA C


Arjum and Bhim can run a full round around a circular track in \(4\) minutes and \(7\) minutes respectively. If they

Arjum and Bhim can run a full round around a circular track in \(4\) minutes and \(7\) minutes respectively. If they start simultaneously, after how much time will they meet together at a point diametrically opposite from the starting point? A. \(3\) mins B. \(5.5\) mins C. \(11\) mins D. \(28\) min...


The boy ans girls in a college are in the ratio \(3:2\). If \(20\%\) of the boys and \(25\%\) of the girls are adults,

The boy ans girls in a college are in the ratio \(3:2\). If \(20\%\) of the boys and \(25\%\) of the girls are adults, the percentage of the students who are not adults?

A) \(52\)
B) \(58\)
C) \(78\)
D) \(40\)
E) \(60\)

OA C


The teachers’ colony has \(2800\) members, out of which \(650\) members read only English newspaper. \(550\) members

The teachers’ colony has \(2800\) members, out of which \(650\) members read only English newspaper. \(550\) members read only Hindi newspaper and \(450\) members read only Marathi newspaper. The number of members reading all the \(3\) newspapers is \(100\). Members reading Hindi as well as English ...


A survey was made of \(100\) students who study German, French and Japanese. How many students study both German and

A survey was made of \(100\) students who study German, French and Japanese. How many students study both German and French but not Japanese?

1) \(51\) students study German, while \(31\) students study German but not French
2) \(9\) students study German, French and Japanese

OA C


A survey of \(1.2\) million homes reported that \(650,000\) had fewer than \(2\) children. In homes with \(2\) or more

A survey of \(1.2\) million homes reported that \(650,000\) had fewer than \(2\) children. In homes with \(2\) or more children, \(280,000\) of them did not have a separate bedroom for each child. If \(400,000\) homes in the survey had a separate bedroom for each child, what percent of the homes wit...


For each home sold in County \(X\), the buyer and the seller each must pay to County \(X\) a tax of \(0.5\) percent of

For each home sold in County \(X\), the buyer and the seller each must pay to County \(X\) a tax of \(0.5\) percent of the sale price of the home. Colleen recently sold her old home and bought a new home, both in County \(X\). What was the total tax that Colleen paid to County \(X\) on these home sa...


\(a\) and \(b\) represent digits in the correctly-worked addition operation above. What is the value of \(a?\)

\(\begin{array}{c}
\phantom{+}\, 1ab \\
+ \, ba1 \\ \hline
\phantom{+} \, 746
\end{array}\)

\(a\) and \(b\) represent digits in the correctly-worked addition operation above. What is the value of \(a?\)

A. \(2\)
B. \(3\)
C. \(4\)
D. \(6\)
E. \(7\)

OA E


If \(x\) is the median of three consecutive integers, what is the product of these three integers in terms of \(x?\)

If \(x\) is the median of three consecutive integers, what is the product of these three integers in terms of \(x?\)

A. \(x^3+6x^2+8x\)
B. \(x^3-3x^2+2x\)
C. \(x^3-3x^2-2x\)
D. \(x^3-x^2\)
E. \(x^3-x\)

OA E


\(30\% \sim 35\%\) of the employees in a certain company have cell phones. Do at least half of the employees in the

\(30\% \sim 35\%\) of the employees in a certain company have cell phones. Do at least half of the employees in the company with cell phones own their houses? 1. \(70\% \sim 75\%\) of the employees in the company own their houses 2. \(40\% \sim 45\%\) of the employees in the company with their house...


The county-mandated guidelines at a certain community college specify that for the introductory English class, the

The county-mandated guidelines at a certain community college specify that for the introductory English class, the professor may choose one of three specified novels, and choose two from a list of \(5\) specified plays. Thus, the reading list for this introductory class is guaranteed to have one nov...


If \(a\) and \(b\) are integers such that \(a+b=5\), which of the following is true?

If \(a\) and \(b\) are integers such that \(a + b = 5\), which of the following is true?

I. The product of \(a\) and \(b\) is odd.
II. If \(a\) is odd, \(b\) is even.
III. If \(a\) is negative, \(b\) is positive.

A. I only
B. II only
C. I and II
D. II and III
E. I, II and III

OA D